Question

A conical tank is leaking water at the rate of 75 cubic inc/min. At the same time water is being pumped into the tank at a constant rate.The tanks height is 60 in whiles its top diameter is 20 inches.If the water level is rising at a rate of 5in/min when the height of the water is 10 inches high,find the rate in which water is being pumped into the tank to the nearest cubic inhes/min.The volume of a cone is given by( v= 1/3pi*r^2*h)

Answer 1

since r = h/6 ; r' = h'/6; = 5/6

V′=10(2)(5)(5) / 3(3)(6)pi+ 5⋅5^2 / 3⋅3^2 pi V′=250 / 27pi+125 / 27pi V′=375 / 27pi; at the given moment specified